- #1
AndreTheGiant
- 28
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Homework Statement
Hello. I have a few questions I wanted to run by just to make sure I did them right.
all the below have lim (x,y) -> (0,0)
1) [PLAIN]http://www4d.wolframalpha.com/Calculate/MSP/MSP188519hd2c481i6c46be00004f512a01afdig9ge?MSPStoreType=image/gif&s=27&w=111&h=40
2) [PLAIN]http://www4d.wolframalpha.com/Calculate/MSP/MSP142419hd2d04f3fccfb70000144ef2c7017g2919?MSPStoreType=image/gif&s=43&w=63&h=43
Homework Equations
The Attempt at a Solution
ok so this is what i did for the following.
1) if i approach from the x-axis and y axis, both the limits give me -3/0 as an answer. If i approach from y = ax, i also get -3/0 as the final answer. So the limit does not exist? What other methods can i use here because I'm not sure if this is right.
2) approaching from the y-axis I get lim y-> 0 of y^2/y^2 = 1
approaching from the x-axis i get lim x-> 0 3x^2/x^2 = 3
since those two aren't equal I can conclude that the limit does not exist.
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